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Finding the Fourth Proportional to 381.26, 570.97 and 218.45

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Solution

The fourth proportional to 381.26, 570.97 and 218.45 is: 327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 570.97 = 218.45 : x
  2. Step 2: Convert to fraction form
    381.26/570.97 = 218.45/x
  3. Step 3: Cross multiply
    381.26x = 570.97 × 218.45
  4. Step 4: Simplify right side
    381.26x = 124,728.40
  5. Step 5: Solve for x
    x = 124,728.40/381.26
  6. Step 6: Final answer
    x = 327.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.